GATE ECE 1991 | GATE ECE Year Wise Previous Years Questions

GATE ECE 1991

MCQ (More than One Correct Answer)

-0.6

The electric field component of a uniform plane electromagnetic wave propagating in the $$Y$$-direction in a lossless medium will satisfy the equation

$${{{\partial ^2}{E_y}} \over {\partial \,{y^2}}} = \mu \in {{{\partial ^2}{E_y}} \over {\partial \,{t^2}}}$$

$${{{\partial ^2}{E_y}} \over {\partial \,{x^2}}} = \mu \in {{{\partial ^2}{E_y}} \over {\partial \,{t^2}}}$$

$${{{\partial ^2}{E_x}} \over {\partial \,{y^2}}} = \mu \in {{{\partial ^2}{E_x}} \over {\partial \,{t^2}}}$$

$${{\sqrt {E_x^2 + E_z^2} } \over {\sqrt {H_x^2 + H_z^2} }} = \sqrt {\mu / \in } $$

GATE ECE 1991

Subjective

-0

A uniform plane electromagnetic wave traveling in free-space enters into a lossless medium at normal incidence. In the medium its velocity reduces by 50% and in free space sets up a standing wave having a reflection coefficient of - 0.125. Calculate the permeability and the permittivity of the medium.

GATE ECE 1991

MCQ (Single Correct Answer)

-0.6

In a board side array of 20 isotropic radiators, equally spaced at a distance of $$\lambda /2$$, the veam width between first nulls is

51.3 degrees

11.46 degrees

22.9 degrees

102.6 degrees

GATE ECE 1991

Subjective

+10

-0

In the radiation pattern of a 3-element array of isotropic radiators equally spaced at distances of $${\lambda /4}$$ it is required to place a null at an angle of 33.56 degrees off the end-fire direction. Calculate the progressive phase shifts to be applied to the elements. Also calculate the angle at which the main beam is placed for this phase distribution.

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